A steel column is pin connected at the top and bottom which is laterally braced and subjected to transverse loading. It carries an axial load of 800 kN and a 70 kN-m moment. Use ASD. The steel section has the following properties: A = 13000 mm² r = 94 mm Ix = 300 x 106 mm4 Sx = 1200 x 103 mm³ L = 3.6 m Yield stress Fy = 248 MPa Axial compressive stress that would be permitted if axial force alone existed, Fa = 115 MPa Compressive bending stress that would be permitted if bending moment alone existed, Fb = 148 MPa Members subjected to both axial compression and bending stresses shall be proportioned to satisfy the following requirements: Pr 8(Mrx Mry + 9 Mex Mey + Pe Determine the axial compressive stress if axial load only existed. 75.82 MPa 61.54 MPa 33.96 MPa 16.25 MPa Determine the bending stress if bending moment alone existed. 76.25 MPa 58.33 MPa ≤ 1.0 13.33 MPa 16.59 MPa Determine the value of both axial and bending moment interaction value, considering the amplification due to second order moment. 0.90 0.98 0.70 O 0.85

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A steel column is pin connected at the top and bottom which is laterally braced and subjected to
transverse loading. It carries an axial load of 800 kN and a 70 kN-m moment. Use ASD. The steel
section has the following properties:
A = 13000 mm²
r = 94 mm
Ix = 300 x 106 mm4
Sx = 1200 x 103 mm³
L = 3.6 m
Yield stress Fy = 248 MPa
Axial compressive stress that would be permitted if axial force alone existed, Fa = 115 MPa
Compressive bending stress that would be permitted if bending moment alone existed, Fb = 148
MPa
Members subjected to both axial compression and bending stresses shall be proportioned to satisfy
the following requirements:
Mry
+
9 Mex Mey
Determine the axial compressive stress if axial load only existed.
Pr 8 Mrx
+
Pe
75.82 MPa
61.54 MPa
33.96 MPa
16.25 MPa
Determine the bending stress if bending moment alone existed.
76.25 MPa
O58.33 MPa
13.33 MPa
≤ 1.0
16.59 MPa
Determine the value of both axial and bending moment interaction value, considering the
amplification due to second order moment.
O 0.90
0.98
0.70
0.85
Transcribed Image Text:A steel column is pin connected at the top and bottom which is laterally braced and subjected to transverse loading. It carries an axial load of 800 kN and a 70 kN-m moment. Use ASD. The steel section has the following properties: A = 13000 mm² r = 94 mm Ix = 300 x 106 mm4 Sx = 1200 x 103 mm³ L = 3.6 m Yield stress Fy = 248 MPa Axial compressive stress that would be permitted if axial force alone existed, Fa = 115 MPa Compressive bending stress that would be permitted if bending moment alone existed, Fb = 148 MPa Members subjected to both axial compression and bending stresses shall be proportioned to satisfy the following requirements: Mry + 9 Mex Mey Determine the axial compressive stress if axial load only existed. Pr 8 Mrx + Pe 75.82 MPa 61.54 MPa 33.96 MPa 16.25 MPa Determine the bending stress if bending moment alone existed. 76.25 MPa O58.33 MPa 13.33 MPa ≤ 1.0 16.59 MPa Determine the value of both axial and bending moment interaction value, considering the amplification due to second order moment. O 0.90 0.98 0.70 0.85
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